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please explain (4.4) Let X that is orthogonal to all three vectors (2) U=, 17=andW=. (4.5) Find a unit vector that is orthogonal to both

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(4.4) Let X that is orthogonal to all three vectors (2) U=, 17=andW=. (4.5) Find a unit vector that is orthogonal to both U = and I? =. (2) Assume that a vector 3 of length ||a|| = 3 units In addition, a points in a direction that IS 135D counter clockwise from the positive Xaxis, and a vector b 1n th xy- p-lane has a length ||b||=1and points in the positive y -direction. (5.1) Find 3' - E. (2) (5.2) Calculate the distance between the point ('I , V5) and the line 2X 2y 5 = 0. (2) (7.1) Find a point-normal form of the equation of the plane passing through P = ('1 ,2, 3) and (4) having 5 = as a normal. (7.2) Determine in each case whether the given planes are parallel or perpendicular: (a) x+y+32+10=0andx+2yz=1, (2) (h) 3x2y+zS=0and4x+2y4z=0, (2) (c) 3x+y+z1=0andx+2y+z+3=0, (2) (d) x3y+z+1=0and3x4y+z1=0. (2)

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